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Finding the Fourth Proportional to 17,066, 23,551.08 and 9,614

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Solution

The fourth proportional to 17,066, 23,551.08 and 9,614 is: 13,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,066 : 23,551.08 = 9,614 : x
  2. Step 2: Convert to fraction form
    17,066/23,551.08 = 9,614/x
  3. Step 3: Cross multiply
    17,066x = 23,551.08 × 9,614
  4. Step 4: Simplify right side
    17,066x = 226,420,083.12
  5. Step 5: Solve for x
    x = 226,420,083.12/17,066
  6. Step 6: Final answer
    x = 13,267.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.